A note on Fourier restriction and nested Polynomial Wolff axioms
Classical Analysis and ODEs
2020-10-07 v1
Abstract
This note records an asymptotic improvement on the known range for the Fourier restriction conjecture in high dimensions. This is obtained by combining Guth's polynomial partitioning method with recent geometric results regarding intersections of tubes with nested families of varieties.
Cite
@article{arxiv.2010.02251,
title = {A note on Fourier restriction and nested Polynomial Wolff axioms},
author = {Jonathan Hickman and Joshua Zahl},
journal= {arXiv preprint arXiv:2010.02251},
year = {2020}
}
Comments
24 pages, 0 figures. This article builds upon arXiv:1807.10940